1212.1476 (Baoping Liu et al.)

Local wellposedness of Chern-Simons-Schrödinger    [PDF]

Baoping Liu, Paul Smith, Daniel Tataru

In this article we consider the initial value problem for the Chern-Simons-Schrodinger model in two space dimensions. This is a covariant NLS type problem which is L^2 critical. For this equation we introduce a so-called heat gauge, and prove that, with respect to this gauge, the problem is locally well-posed for initial data which is small in H^s, s > 0.

View original: http://arxiv.org/abs/1212.1476